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Simplifying 0.12(24) + 0.02x = 0.06(6 + x) Multiply 0.12 * 24 2.88 + 0.02x = 0.06(6 + x) 2.88 + 0.02x = (6 * 0.06 + x * 0.06) 2.88 + 0.02x = (0.36 + 0.06x) Solving 2.88 + 0.02x = 0.36 + 0.06x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.06x' to each side of the equation. 2.88 + 0.02x + -0.06x = 0.36 + 0.06x + -0.06x Combine like terms: 0.02x + -0.06x = -0.04x 2.88 + -0.04x = 0.36 + 0.06x + -0.06x Combine like terms: 0.06x + -0.06x = 0.00 2.88 + -0.04x = 0.36 + 0.00 2.88 + -0.04x = 0.36 Add '-2.88' to each side of the equation. 2.88 + -2.88 + -0.04x = 0.36 + -2.88 Combine like terms: 2.88 + -2.88 = 0.00 0.00 + -0.04x = 0.36 + -2.88 -0.04x = 0.36 + -2.88 Combine like terms: 0.36 + -2.88 = -2.52 -0.04x = -2.52 Divide each side by '-0.04'. x = 63 Simplifying x = 63
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